Cravens, David W., Stewart, David I. and Thomas, Adam (2021) A new maximal subgroup of E8 in characteristic 3. Proceedings of the American Mathematical Society, 150 (4). pp. 1435-1448. doi:10.1090/proc/15759 ISSN 0002-9939.

Preview

PDF WRAP-New-maximal-subgroup-E8-characteristic-3-2021.pdf - Accepted Version - Requires a PDF viewer. Download (747Kb) | Preview

Request Changes to record.

Abstract

We prove the existence and uniqueness up to conjugacy of a new maximal subgroup of the algebraic group of type E8 in characteristic 3. This has type F4, and was missing from previous lists of maximal subgroups produced by Seitz and Liebeck–Seitz. We also prove a result about the finite group H = 3D4(2), namely that if H embeds in E8 (in any characteristic p) and has two composition factors on the adjoint module then p = 3 and H lies in a conjugate of this new maximal F4 subgroup.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Group theory, Maximal subgroups
Journal or Publication Title:	Proceedings of the American Mathematical Society
Publisher:	American Mathematical Society
ISSN:	0002-9939
Official Date:	2021
Dates:	Date Event 2021 Published 4 July 2021 Accepted
Volume:	150
Number:	4
Page Range:	pp. 1435-1448
DOI:	10.1090/proc/15759
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	9 July 2021
Date of first compliant Open Access:	9 July 2021
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID UNSPECIFIED Royal Society http://dx.doi.org/10.13039/501100000288
Related URLs:	Publisher
Open Access Version:	ArXiv

Request changes or add full text files to a record

Repository staff actions (login required)

View Item

Downloads